Search a number
-
+
113311322323320 = 233511734909239543
BaseRepresentation
bin11001110000111001011001…
…000111011011100101111000
3112212012110022212200201000110
4121300321121013123211320
5104322443042003321240
61040554300341104320
732603321125045302
oct3160713107334570
9485173285621013
10113311322323320
1133117075482270
12108605b06b80a0
134b2c29a570154
141dda423990972
15d1774a622c80
hex670e591db978

113311322323320 has 256 divisors, whose sum is σ = 375995161267200. Its totient is φ = 27087486013440.

The previous prime is 113311322323319. The next prime is 113311322323321. The reversal of 113311322323320 is 23323223113311.

113311322323320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113311322323319) and next prime (113311322323321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113311322323321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 472911469 + ... + 473151011.

It is an arithmetic number, because the mean of its divisors is an integer number (1468731098700).

Almost surely, 2113311322323320 is an apocalyptic number.

113311322323320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113311322323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187997580633600).

113311322323320 is an abundant number, since it is smaller than the sum of its proper divisors (262683838943880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113311322323320 is a wasteful number, since it uses less digits than its factorization.

113311322323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244550 (or 244546 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 113311322323320 its reverse (23323223113311), we get a palindrome (136634545436631).

The spelling of 113311322323320 in words is "one hundred thirteen trillion, three hundred eleven billion, three hundred twenty-two million, three hundred twenty-three thousand, three hundred twenty".